Answered: Using simply Euler's method, solve the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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import numpy as np

# Define the differential equation function
def func(t, y):
return t - y**2
# Define the initial conditions and parameters
t0 = 0
y0 = 1
t_max = 2
n = 10
h = (t_max - t0) / n
# Implement Euler's method
t = t0
y = y0
for i in range(n):
y += h * func(t, y)
t += h
print(y)
print("\n")

Using simply Euler's method, solve the following IVP problem:
dy
dt
=t-y²,-1≤t≤ 4, y (0) = 2.5, 30 iterations
2.22
O2.24
2.18
Question 2
A

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